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On real numbers, (aRb) means (a-b>0). Which statement is correct?

Answer and explanation

Correct answer: Transitive but not reflexive

Step 1: (a-a=0), which is not greater than (0), so the relation is not reflexive. Step 2: If (a>b) and (b>c), then (a>c), so it is transitive. Step 3: Greater-than type relations are generally not symmetric.

Related tags

RelationsGreater-ThanTransitive-RelationIntroduction To RelationsRelations And FunctionsMathematicsClass 12 Mcq

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